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uranmaximum [27]

3 years ago

12

In a survey of 3 comma 500 people who owned a certain type of car, 1 comma 050 said they would buy that type of car again. Wha

t percent of the people surveyed were satisfied with the car?

1 answer:

Elis [28]3 years ago

3 0

Answer:

30%

Step-by-step explanation:

In general to find %, divide the subset by the total amount and multiply by 100:

1050 / 3500 * 100 = 30%

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A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag

Sveta_85 [38]

Answer:

$\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

$\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s$

where B stands for Base area

and P for Base Parimeter

so

$\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s$

now we need our algebraic skills to figure out s

simplify parentheses:

$\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144$

reduce fraction:

$\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32} \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144$

simplify multiplication:

$\displaystyle \: 16s + 64 = 144$

cancel 64 from both sides;

$\displaystyle \: 16s = 80$

divide both sides by 16:

$\displaystyle \: \therefore \: s = 5$

now we'll use Pythagoras theorem to figure out height

according to the theorem

$\displaystyle \: {h}^{2} + (\frac{l}{2} {)}^{2} = {s}^{2}$

substitute the value of l and s:

$\displaystyle \: {h}^{2} + (\frac{8}{2} {)}^{2} = {5}^{2}$

simplify parentheses:

$\displaystyle \: {h}^{2} + (4 {)}^{2} = {5}^{2}$

simplify squares:

$\displaystyle \: {h}^{2} + 16 = 25$

cancel 16 from both sides:

$\displaystyle \: {h}^{2} = 9$

square root both sides:

$\displaystyle \: \therefore \: {h}^{} = 3$

recall the formula of a square pyramid

$\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h$

where A stands for Base area (l²)

substitute the value of h and l:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times \{8 \times 8 \}\times 3$

simplify multiplication:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times 64\times 3$

reduce fraction:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times 64\times \cancel{ \: 3}$

hence,

$\sf\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

8 0

2 years ago

The Reagan school marching band has three percussion musicians. How many musicians altogether in band ? 1/3 wood winds 1/6 percu

Artyom0805 [142]

1/6 percussion
1/3 wood winds = 2/6 (which is twice as many as percussion)
1/2 brass = 3/6 (which is three times as many as percussion)

So percussion = 3
wood winds = 6
brass = 9
all together = 3 + 6 + 9 = 18

6 0

3 years ago

Read 2 more answers

A city known for its temperature extremes started the day at -5 degrees Fahrenheit. The temperature increased by 78 degrees Fahr

charle [14.2K]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Starting temperature = - 5°F

Temperature at midday =increase in temperature by 78°F = (starting temperature + 78°F)

Temperature at nightfall = decrease in temperature by 32°F = ( temperature at midday - 32°F)

Temperature at midday:

(-5°F + 78°F) = 73°F

Temperature at nightfall:

(Temperature at midday - 32°F)

(73°F - 32°F) = 41°F

7 0

3 years ago

Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in

luda_lava [24]

From the given problem statement alone, we can say that the equation relating the area of the lawn mowed and the earnings has a linear relationship. That is because there is a constant increase in the earnings per area which is $1 per 1000 square feet.

Therefore the equation must be in the form of:

y = m x + b

where,

y = is the total earnings

m = is the fee per area = 1 / 1000

x = is the area of the lawn

b = is the fixed fee = 30

Therefore the equation becomes:

y = 0.001 x + 30

Rewriting this in terms for x since we are to find the area:

x = (y – 30) 1000

when y = 204

x = (204 – 30) 1000 = 174,000 square feet

when y = 344

x = (344 – 30) 1000 = 314,000 square feet

when y = 450

x = (450 – 30) 1000 = 420,000 square feet

when y = 482

x = (482 – 30) 1000 = 452,000 square feet

when y = 504

x = (504 – 30) 1000 = 474,000 square feet

8 0

3 years ago

Convert to factored form <br> y = x² + 6x

steposvetlana [31]

<em><u>Convert to factored form is:</u></em>

$y = x(x + 6)$

<em><u>Solution:</u></em>

Given that,

$y = x^2 + 6x$

We have to convert to factored form

Factored form means writing terms in multiplication. i.e as a product

From given,

$y = x^2 + 6x$

Factor out x from above given expression

$y = x(x + 6)$

Here, the given equation is written as product of "x" and (x + 6)

Thus the factored form is found

8 0

3 years ago